Efficient Equivalent of Shallow Quantum Hashing

Ilnar Zinnatullin; Alexander Vasiliev

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arXiv · 2511.19292

Efficient Equivalent of Shallow Quantum Hashing

Ilnar Zinnatullin·Alexander Vasiliev

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Abstract

Quantum hashing is a widely used technique in quantum computation that allows us to design space-efficient algorithms and protocols. Recently, Vasiliev has shown that the phase form of shallow quantum hashing can be implemented by a circuit of depth 2. In this paper, we establish a connection between shallow quantum hashing and single-qubit quantum hashing for the amplitude form. For a shallow circuit, we propose a circuit of depth 1 that achieves the same collision resistance.

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Ilnar Zinnatullin, Alexander Vasiliev. 2025-11-24. Efficient Equivalent of Shallow Quantum Hashing. https://arxiv.org/abs/2511.19292

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